Mathematics · Linear Algebra

Suppose the vectors x1, x2 and x3 are the solutions of the system of linear equations Ax = b when the vector b on the right side is equal to b1, b2 and b3 respectively. If x1 = [1, 1, 1]T, x2 = [0, 2, 1]T, x3 = [0, 0, 1]T and b1 = [1, 0, 0]T, b2 = [0, 2, 0]T, b3 = [0, 0, 2]T, then the determinant of A is equal to: